What is the Least Common Multiple of 73852 and 73871?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 73852 and 73871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73852 and 73871, than apply into the LCM equation.

GCF(73852,73871) = 1
LCM(73852,73871) = ( 73852 × 73871) / 1
LCM(73852,73871) = 5455521092 / 1
LCM(73852,73871) = 5455521092

Least Common Multiple (LCM) of 73852 and 73871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73852 and 73871. First we will calculate the prime factors of 73852 and 73871.

Prime Factorization of 73852

Prime Factorization of 73871

Now multiplying the highest exponent prime factors to calculate the LCM of 73852 and 73871.

LCM(73852,73871) = 2² × 37¹ × 499¹ × 7¹ × 61¹ × 173¹
LCM(73852,73871) = 5455521092